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LuckyWell [14K]
3 years ago
7

When a parabola represented by the equation y - 2x 2 = 8 x + 5 is translated 3 units to the left and 2 units up, the new parabol

a has its vertex at
Mathematics
2 answers:
never [62]3 years ago
8 0
(-2 - 3 , - 3 + 2) = (-5 , -1)

have fun :)))))))))
amid [387]3 years ago
4 0
<span>First rewrite y - 2x<span> 2</span> = 8 x + 5 as</span> 

y = 2x<span> 2</span><span> + 8 x + 5 </span>

Complete square and determine vertex. 

y = 2(x<span> 2</span><span> + 4x + 4) - 8 + 5 </span>

= 2(x + 2)<span> 2</span><span> - 3 </span>

<span>vertex at (- 2 , - 3) </span>

If parabola is translated 3 units to the left and 2 units up its vertex is also translated 3 units to the right and 2 units up . 

<span>vertex after translations is at: (-2 - 3 , - 3 + 2) = (-5 , -1)</span>
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4 years ago
Find the HCF and LCM of 4x^2 - 36 ,2x^2 - 12x + 18 and 2x^2 + x - 21​
olga_2 [115]

Answer:

(x-3), 4 (x - 3)^2 (x + 3) (2 x + 7)

Step-by-step explanation:

Factor all the expressions,

1st expression= 4x^2 - 36=4(x^2-9)=4(x+3)(x-3)

2nd expression=2x^2 - 12x + 18 =2(x^2-6x+9)=2 (x - 3)^2=2(x-3)(x-3)

3rd expression=2x^2 + x - 21​=(x - 3) (2 x + 7)

HCF=Commo factor=(x-3)

LCF=Common factor*Remaining factor=4(x+3)(x-3)(x-3) (2 x + 7)=4 (x - 3)^2 (x + 3) (2 x + 7)

4 0
3 years ago
QUESTION IS DOW BELOW 15 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
vfiekz [6]

a. Applying the angle of intersecting chord theorem, m∠AEB = 57°.

b. Applying the , angle of intersecting tangents or secants theorem, VW = 106°.

<h3>What is the Angle of Intersecting Chords Theorem?</h3>

According to the angle of intersecting chord theorem, the angle formed inside a circle (i.e. angle AEB) by two chords (i.e. AC and BD) have a measure that is equal to half of the sum of the measures of intercepted arcs AB and CD.

<h3>What is the Angle of Intersecting Tangents or Secants Theorem?</h3>

According to the angle of intersecting tangents or secants theorem, the angle formed outside a circle (i.e. angle VZW) have a measure that is equal to half of the positive difference of the measures of intercepted arcs XY and VW.

a. m∠AEB = 1/2(measure of arc AB + measure of arc CD) [angle of intersecting chord theorem]

Substitute

m∠AEB = 1/2(53 + 61)

m∠AEB = 57°

b. 35 = 1/2(VW - 36) [angle of intersecting tangents or secants theorem]

Multiply both sides by 2

2(35) = VW - 36

70 = VW - 36

Add 36 to both sides

70 + 36 = VW

VW = 106°

Learn more about the angle of intersecting chord theorem on:

brainly.com/question/13950364

#SPJ1

8 0
2 years ago
HELP ME PLEASE !! I need help with this graph ... will mark brainliest !!
Bingel [31]

Answer:

its y=-2(x+1)^2+5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Let n be equal to 156% of 70. Which of the following proportions is true?
aniked [119]
Well all u have to do is 156%*70= 109.2 so N= 109.2
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3 years ago
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